Vertex Form
Identify the transformations being applied to the parent quadratic function.
y=-3(x-4)^2+2
Reflected Across the X-axis
Stretched by 3
Right 4
Up 2
What are the a, b, and c of the quadratic?
-3x^2-x+8
a=-3
b=-1
c=8
What is the graph (shape of the graph) of a quadratic function called?
Parabola
Factoring the following quadratic expression.
x^2+13x+42
(x+6)(x+7)
What are the two zeros that come from the following binomials?
x(2x-3)=0
x=0, 3/2
The "ice bucket challenge" went viral in the summer of 2014 and it promoted awareness for a disease associated with a professional athlete. What is the initialism for the disease?
ALS
What is the vertex of the following quadratic function?
y=(x+2)^2-7
Vertex: (-2, 7)
What is the axis of symmetry?
x^2-4x+2
x=2
What is the parent quadratic function?
y=x^2
Factoring the following quadratic expression.
-x^2+16x-55
-(x-5)(x-11)
What are the two zeros that come from the following binomials?
(x-3)(2x+5)=0
x=3, -5/2
The name of the boat in JAWS!
The Orca
If the vertex is (4, -5), what is the Axis of Symmetry?
AoS:
x=4
What is the vertex of the parabola?
y=x^2-4x+1
Vertex: (2, -3)
What is the following form of the quadratic function called?
y=a(x-h)^2+k
Vertex Form
Factoring the following quadratic expression.
-9x^2+6x
-3x(3x-2)
Solve the quadratic equation by factoring.
x^2-2x-24=0
x=-4, 6
Room 214 of what Washington, DC hotel has been converted to "The Scandal Room," with decor that includes newspaper headlines about Richard Nixon's resignation?
The Watergate Hotel
Does the following quadratic function have a maximum or minimum? What is that max or min value?
y=-3(x+2)^2-4
Maximum Value of -4
What is the vertex of the parabola?
y=3x^2+18x+32
Vertex: (-3, 5)
What is the Standard Form of the quadratic function?
y=ax^2+bx+c
Factoring the following quadratic expression.
3x^2+8x-3
(3x-1)(x+3)
Solve the quadratic equation by factoring.
4x^2+6x=0
x=0, -3
Originally intended for better seat cushioning and as crash protection, memory foam was invented in the 1970s by what U.S. government agency with a lot of engineers to spare?
NASA
Does the following quadratic function have a maximum or minimum? What is that max or min value?
y=1/2x^2+3
Minimun Value of 3
Does the following parabola have a maximum or minimum value?
y=-2x^2-8x+3
Maximum Value
If the discriminant is -3, how many and what type of root does the quadratic have?
Two Complex roots
Factoring the following quadratic expression.
16x^2-40x+25
(4x-5)^2
Solve the quadratic equation by factoring.
3x^2=x+4
x=-1, 4/3
What tear-inducing satire news site was founded by two students at the University of Wisconsin, Madison in 1988?
The Onion
Write the equation of a parabola with the given vertex.
Vertex: (-3, 7)
y=-12(x+3)^2+7
What is the y-intercept of the quadratic function?
y=2x^2+4x-4
Y-Intercept: (0, 4)
What is the difference between the quadratic formula and the discriminant?
The quadratic formula tells us what the roots are, the discriminant tells us what type and how many roots their are.
Factoring the following quadratic expression.
25x^2-9
(5x+3)(5x-3)
Solve the quadratic equation.
x^2-8x+9=2
x= 1, 7
This western university has a mascot named this, after the red-ish color, not the bird.
Stanford Cardinal